Tyler's $1,000 investment will be worth $1,240 after 6 years, invested at 4% interest rate.
The problem gives the following relevant data:
Principal = $1000
Interest rate = 4% simple interest
Term or time period = 6 years
Since simple interest is given, we need to use the simple interest formula;
I = P x R x T
where: P is the principal, R is the interest rate, and T is the time the money will be invested.
I = $1000 x 4% x 6yrs
I = $1000 x 0.04 x 6
I = 40 x 6
I = 240 ==> Interest earned after 6 years is $240.
Total Investment = Principal + Interest
T.I. = $1,000 + $240
T.I. = $1,240 ==> the value of Tyler's investment after 6 years.
Answer:
9 inches
Step-by-step explanation:
Here, we want to know the greatest length of the third side
We apply the triangle inequality theorem here
To get the third side, then the sum of the lengths of the two must be greater than the measure of the third side
let us call the third side x
Then;
5 + 5 > x
10 > x
The highest whole number before 10 is 9: so it is the greatest possible whole number the base of the isosceles triangle can have
Given:
Max's house has two steps on the front porch.
Size of each step is the same.
To find:
The total vertical distance covered by the two steps.
Solution:
From the given figure, it is clear that,
Base length of each step = 6 in
Hypotenuse = 10 in
Let h be the vertical height of each step.
Using Pythagoras theorem, the vertical height of one step is





Taking square root on both sides.


Height cannot be negative. So, h = 8 in.
Now,
Vertical height of 2 steps = 
= 
So, the total vertical distance covered by the two steps is 16 in.
Therefore, the correct option is A.
Answer:
I am going to have to go with A. 46,155
Step-by-step explanation:
please mark brainliest :)
Since all the terms have the same base you just deal with the exponents.
(X^2)(x^7)=x^9
X^9(x^-3)=x^9/x^3=x^6